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Explicit MPC Based on the Galerkin Method for AGC Considering Volatile Generations
Qiu,Yiwei1; Lin,Jin1; Liu,Feng1; Song,Yonghua2
2019-08-09
Source PublicationIEEE Transactions on Power Systems
ISSN0885-8950
Volume35Issue:1Pages:462-473
Abstract

The imbalance of generation and load caused by the increasing integration of volatile generations poses challenges on frequency regulation. AGC is required to respond to the generation fluctuations without violating operational and security constraints. Explicit model predictive control (EMPC) provides an approach to reaching such requirements, which calculates the control laws of MPC in an explicit form, allowing for offline validation of the controller and enabling fast online computation. However, the partition number of EMPC's piecewise affine control laws grows exponentially with the number of constraints and prediction/control horizons, which hinders its application in large systems. In this paper, we propose an alternative explicit control approach for AGC by approximating the control laws of EMPC using Legendre polynomial series expansions, thus entirely eliminating the partition issue. The Galerkin method is applied to the KKT conditions of EMPC's multiparametric quadratic programming (mp-QP) problem to compute the approximation. Case studies in an illustrative system and IEEE 118-Bus System verify the performance and efficiency of the proposed controller.

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The imbalance of generation and load caused by the increasing integration of volatile generations poses challenges on frequency regulation. AGC is required to respond to the generation fluctuations without violating operational and security constraints. Explicit model predictive control (EMPC) provides an approach to reaching such requirements, which calculates the control laws of MPC in an explicit form, allowing for offline validation of the controller and enabling fast online computation. However, the partition number of EMPC's piecewise affine control laws grows exponentially with the number of constraints and prediction/control horizons, which hinders its application in large systems. In this paper, we propose an alternative explicit control approach for AGC by approximating the control laws of EMPC using Legendre polynomial series expansions, thus entirely eliminating the partition issue. The Galerkin method is applied to the KKT conditions of EMPC's multiparametric quadratic programming (mp-QP) problem to compute the approximation. Case studies in an illustrative system and IEEE 118-Bus System verify the performance and efficiency of the proposed controller.

KeywordAutomatic Generation Control Explicit Model Predictive Control Galerkin Projection Legendre Polynomials Multi-parametric Programming Optimal Control Spectral Method Automatic Generation Control Explicit Model Predictive Control Galerkin Projection Legendre Polynomials Multi-parametric Programming Optimal Control Spectral Method
DOI10.1109/TPWRS.2019.2934318
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaEngineering ; Engineering
WOS SubjectEngineering, Electrical & Electronic ; Engineering, Electrical & Electronic
WOS IDWOS:000509344600040
Scopus ID2-s2.0-85078351603
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Cited Times [WOS]:15   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
Corresponding AuthorQiu,Yiwei
Affiliation1.State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment,Department of Electrical Engineering,Tsinghua University,Beijing,100087,China
2.Department of Electrical and Computer Engineering,University of Macau,100087,Macao
Recommended Citation
GB/T 7714
Qiu,Yiwei,Lin,Jin,Liu,Feng,et al. Explicit MPC Based on the Galerkin Method for AGC Considering Volatile Generations[J]. IEEE Transactions on Power Systems,2019,35(1):462-473.
APA Qiu,Yiwei,Lin,Jin,Liu,Feng,&Song,Yonghua.(2019).Explicit MPC Based on the Galerkin Method for AGC Considering Volatile Generations.IEEE Transactions on Power Systems,35(1),462-473.
MLA Qiu,Yiwei,et al."Explicit MPC Based on the Galerkin Method for AGC Considering Volatile Generations".IEEE Transactions on Power Systems 35.1(2019):462-473.
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